Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

Ken Ichi Maruno; Gino Biondini

doi:10.1088/0305-4470/37/49/005

Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

Ken Ichi Maruno
, Gino Biondini

Mathematics

Kyushu University

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differential-difference equations, difference equations and cellular automata (ultra-discrete equations).

Original language	English
Pages (from-to)	11819-11839
Number of pages	21
Journal	Journal of Physics A: Mathematical and General
Volume	37
Issue number	49
DOIs	https://doi.org/10.1088/0305-4470/37/49/005
State	Published - Dec 10 2004

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title = "Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues",

abstract = "We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differential-difference equations, difference equations and cellular automata (ultra-discrete equations).",

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AU - Maruno, Ken Ichi

AU - Biondini, Gino

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N2 - We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differential-difference equations, difference equations and cellular automata (ultra-discrete equations).

AB - We present a class of solutions of the two-dimensional Toda lattice equation, its fully discrete analogue and its ultra-discrete limit. These solutions demonstrate the existence of soliton resonance and web-like structure in discrete integrable systems such as differential-difference equations, difference equations and cellular automata (ultra-discrete equations).

UR - https://www.scopus.com/pages/publications/10944239659

U2 - 10.1088/0305-4470/37/49/005

DO - 10.1088/0305-4470/37/49/005

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AN - SCOPUS:10944239659

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JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 49

ER -

Resonance and web structure in discrete soliton systems: The two-dimensional Toda lattice and its fully discrete and ultra-discrete analogues

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